What are the solutions to the equation 10b^2-15b=8b-12 ?

The solutions to the equation 10b^2-15b=8b-12 are b= 3/2 ,b= 4/5

Find the zeros of 10b^2-15b=8b-12

The zeros of 10b^2-15b=8b-12 are b= 3/2 ,b= 4/5

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10 b^{2} - 15 b = 8 b - 12

b = \frac{3}{2}, b = \frac{4}{5}

Decimal Notation

b = 1.5, b = 0.8

Solution steps

10 b^{2} - 15 b = 8 b - 12

Move

12

to the left side

10 b^{2} - 15 b + 12 = 8 b

Move

8 b

to the left side

10 b^{2} - 23 b + 12 = 0

Solve with the quadratic formula

b_{1, 2} = \frac{- ( - 23 ) \pm ( - 23 ) ^{2} - 4 \cdot 10 \cdot 12}{2 \cdot 10}

(- 23)^{2} - 4 \cdot 10 \cdot 12 = 7

b_{1, 2} = \frac{- ( - 23 ) \pm 7}{2 \cdot 10}

Separate the solutions

b_{1} = \frac{- ( - 23 ) + 7}{2 \cdot 10}, b_{2} = \frac{- ( - 23 ) - 7}{2 \cdot 10}

b = \frac{- ( - 23 ) + 7}{2 \cdot 10} : \frac{3}{2}

b = \frac{- ( - 23 ) - 7}{2 \cdot 10} : \frac{4}{5}

The solutions to the quadratic equation are:

b = \frac{3}{2}, b = \frac{4}{5}

x^{2} - 2 x + 6 = 2 x^{2} - 6 x - 26

10 x^{2} + (20 k + 50) x + 10 k = 0

x^{2} - x - 6 = 69

3 y^{2} - 12 y + 6 = 0

9 x^{2} - 4 = - 12 x

What are the solutions to the equation 10b^2-15b=8b-12 ?
The solutions to the equation 10b^2-15b=8b-12 are b= 3/2 ,b= 4/5
Find the zeros of 10b^2-15b=8b-12
The zeros of 10b^2-15b=8b-12 are b= 3/2 ,b= 4/5